Deprecated : $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
DLMF:34.3.E15 - MaRDI portal
Statements
(
2
j
1
+
1
)
(
(
j
2
(
j
2
+
1
)
-
j
3
(
j
3
+
1
)
)
m
1
-
j
1
(
j
1
+
1
)
(
m
3
-
m
2
)
)
3
j
j
1
j
2
j
3
m
1
m
2
m
3
=
(
j
1
+
1
)
(
j
1
2
-
(
j
2
-
j
3
)
2
)
1
2
(
(
j
2
+
j
3
+
1
)
2
-
j
1
2
)
1
2
(
j
1
2
-
m
1
2
)
1
2
3
j
j
1
-
1
j
2
j
3
m
1
m
2
m
3
+
j
1
(
(
j
1
+
1
)
2
-
(
j
2
-
j
3
)
2
)
1
2
(
(
j
2
+
j
3
+
1
)
2
-
(
j
1
+
1
)
2
)
1
2
(
(
j
1
+
1
)
2
-
m
1
2
)
1
2
3
j
j
1
+
1
j
2
j
3
m
1
m
2
m
3
.
2
subscript
𝑗
1
1
subscript
𝑗
2
subscript
𝑗
2
1
subscript
𝑗
3
subscript
𝑗
3
1
subscript
𝑚
1
subscript
𝑗
1
subscript
𝑗
1
1
subscript
𝑚
3
subscript
𝑚
2
threej
subscript
𝑗
1
subscript
𝑗
2
subscript
𝑗
3
subscript
𝑚
1
subscript
𝑚
2
subscript
𝑚
3
subscript
𝑗
1
1
superscript
superscript
subscript
𝑗
1
2
superscript
subscript
𝑗
2
subscript
𝑗
3
2
1
2
superscript
superscript
subscript
𝑗
2
subscript
𝑗
3
1
2
superscript
subscript
𝑗
1
2
1
2
superscript
superscript
subscript
𝑗
1
2
superscript
subscript
𝑚
1
2
1
2
threej
subscript
𝑗
1
1
subscript
𝑗
2
subscript
𝑗
3
subscript
𝑚
1
subscript
𝑚
2
subscript
𝑚
3
subscript
𝑗
1
superscript
superscript
subscript
𝑗
1
1
2
superscript
subscript
𝑗
2
subscript
𝑗
3
2
1
2
superscript
superscript
subscript
𝑗
2
subscript
𝑗
3
1
2
superscript
subscript
𝑗
1
1
2
1
2
superscript
superscript
subscript
𝑗
1
1
2
superscript
subscript
𝑚
1
2
1
2
threej
subscript
𝑗
1
1
subscript
𝑗
2
subscript
𝑗
3
subscript
𝑚
1
subscript
𝑚
2
subscript
𝑚
3
{\displaystyle{\displaystyle(2j_{1}+1)\left((j_{2}(j_{2}+1)-j_{3}(j_{3}+1))m_{%
1}-j_{1}(j_{1}+1)(m_{3}-m_{2})\right)\mathit{3j}{j_{1}}{j_{2}}{j_{3}}{m_{1}}{m%
_{2}}{m_{3}}=(j_{1}+1)\left(j_{1}^{2}-(j_{2}-j_{3})^{2}\right)^{\frac{1}{2}}%
\left((j_{2}+j_{3}+1)^{2}-j_{1}^{2}\right)^{\frac{1}{2}}\left(j_{1}^{2}-m_{1}^%
{2}\right)^{\frac{1}{2}}\mathit{3j}{j_{1}-1}{j_{2}}{j_{3}}{m_{1}}{m_{2}}{m_{3}%
}+j_{1}\left((j_{1}+1)^{2}-(j_{2}-j_{3})^{2}\right)^{\frac{1}{2}}\left((j_{2}+%
j_{3}+1)^{2}-(j_{1}+1)^{2}\right)^{\frac{1}{2}}\left((j_{1}+1)^{2}-m_{1}^{2}%
\right)^{\frac{1}{2}}\mathit{3j}{j_{1}+1}{j_{2}}{j_{3}}{m_{1}}{m_{2}}{m_{3}}.}}
3
j
j
1
j
2
j
3
m
1
missing
threej
subscript
𝑗
1
subscript
𝑗
2
subscript
𝑗
3
subscript
𝑚
1
missing
{\displaystyle{\displaystyle\mathit{3j}{\NVar{j_{1}}}{\NVar{j_{2}}}{\NVar{j_{3%
}}}{\NVar{m_{1}}}{\NVar{missing}\)\@add@PDF@RDFa@triples\end{document}}}}
j
,
j
r
𝑗
subscript
𝑗
𝑟
{\displaystyle{\displaystyle j,j_{r}}}
Identifiers